Question regarding quantum mechanics from relativity perspective

[Cjorgensen]

TL;DR

This is just a quick question to better my understanding of how the world works

I want to start with the fact that I have been self teaching myself this stuff, so I do apologize if there is any oversights that should be blatantly obvious. But I was questioning when examining the particle wave duality inside of quantum mechanics if there was a chance that it could be directly related to time dilation and how light exists at C across all reference frames. Essentially treating the probability of the wave function as a relationship to the observers motion in respect to the photon. So when you accelerate to C away from the light, you will see the light redshift. But if you accelerate towards the light to C, you will see it blue shift and begin to redshift again as time starts to dilate as you approach C. I was attempting to identify a way for a probability to become deterministic at larger scales. So I questioned if it could be due to how we experience time. It seems to support Feynman's hypothesis of every superposition existing simultanenously but with the caviate of them be related to how the observer views the particle.

 

[weirdoguy]

So I questioned if it could be due to how we experience time.

No. It is due the fact, that people tried to use classical mental pictures to talk about quantum things. Which is a no-go. Wave-particle duality is a heuristic that is not part of quantum mechanics formalism, so you shouldn't waste much time thinking about it. Instead, learn quantum mechanics as it is. Mind you, we (and you) are talking about non-relativistic QM, so time dilation and other things are not applicable.

 

[PeroK]

TL;DR Summary: This is just a quick question to better my understanding of how the world works

I want to start with the fact that I have been self teaching myself this stuff, so I do apologize if there is any oversights that should be blatantly obvious. But I was questioning when examining the particle wave duality inside of quantum mechanics if there was a chance that it could be directly related to time dilation and how light exists at C across all reference frames. Essentially treating the probability of the wave function as a relationship to the observers motion in respect to the photon. So when you accelerate to C away from the light, you will see the light redshift. But if you accelerate towards the light to C, you will see it blue shift and begin to redshift again as time starts to dilate as you approach C. I was attempting to identify a way for a probability to become deterministic at larger scales. So I questioned if it could be due to how we experience time. It seems to support Feynman's hypothesis of every superposition existing simultanenously but with the caviate of them be related to how the observer views the particle.

What sources are you using? If you really want to learn this stuff you need undergraduate textbooks.

 

[weirdoguy]

It seems to support Feynman's hypothesis of every superposition existing simultanenously

And I want to comment this part: there is no such hypothesis. Superposision is a mathematical tool, and you need very little linear algebra to understand that it is a mathematical fact, that there are inifinitely many bases in every vector space, and you can decompose given vector in each of this basis. In some weird sense I guess one can say that "every superposision exist simultaneously" but once you know and understand the math, there is no need to do that.

Maybe what you had in mind was something connected to Feynman's path integrals, but that still does not work the way you think it does.

So, summing up: math is the only way to go